Answers
Answer:
3.959797975
Step-by-step explanation:
1. Find the square root of 98 which is 9.899494937
2. Divide 9.899494937 by 2.5 which is 3.959797975
(sorry if it's wrong, but I think it's correct)
Related Questions
Four pounds of apples cost $5 How much would 10 pounds o apples cost?
Answers
Answer:
Step-by-step explanation:
plus all of them 5times 10
How many solutions does this nonlinear system of equations have? NEED HELP ASAP!
Answers
Answer:
Step-by-step explanation:
two
A magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the ​respondents, ​% chose chocolate​ pie, and the margin of error was given as percentage points. Describe what is meant by the statement that​ "the margin of error was given as percentage​ points."
Answers
The statement indicates that the interval 12%±5% is likely to contain the true population percentage of people that prefer chocolate pie.
According to the statement
we have a given that the Among the 1000 respondents,
12% chose chocolate pie, and the margin of error was given as
±5 percentage points.
and we have to explain the statement that the margin of error was given as ±5 percentage points.
We know that the interval is a set of real numbers that contains all real numbers lying between any two numbers of the set.
And this statements also indicates the interval between the like and unlike respondents of chocolate pie.
So, this statement indicates that the interval 12%±5% is likely to contain the true population percentage of people that prefer chocolate pie.
So, The statement indicates that the interval 12%±5% is likely to contain the true population percentage of people that prefer chocolate pie.
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Plot graph of
5x+7y= 50
7x + 5y = 46
Answers
Answer:
It's attached you may see it!!
Answer:
see attachments
Step-by-step explanation:
Given equations:
[tex]\begin{cases}5x + 7y = 50\\7x + 5y = 46\end{cases}[/tex]
To plot the graphs of the given equations:
Rearrange each equation to make y the subject.Input at least two values of x into the equations to find two points on each line.Plots the points.Draw a straight line through the points.Equation 1
[tex]\implies 5x + 7y = 50[/tex]
[tex]\implies 7y = -5x + 50[/tex]
[tex]\implies y = -\dfrac{5}{7}x+\dfrac{50}{7}[/tex]
[tex]x=-4 \implies y = -\dfrac{5}{7}(-4)+\dfrac{50}{7}=10 \implies (-4,10)[/tex]
[tex]x=3 \implies y = -\dfrac{5}{7}(3)+\dfrac{50}{7}=5 \implies (3,5)[/tex]
Plot the points (-4, 10) and (3, 5) then draw a straight line through them (see attachment 1).
Equation 2
[tex]\implies 7x+5y=46[/tex]
[tex]\implies 5y=-7x+46[/tex]
[tex]\implies y=-\dfrac{7}{5}x+\dfrac{46}{5}[/tex]
[tex]x=3 \implies y=-\dfrac{7}{5}(3)+\dfrac{46}{5}=5 \implies (3,5)[/tex]
[tex]x=8 \implies y=-\dfrac{7}{5}(8)+\dfrac{46}{5}=-2 \implies (8,-2)[/tex]
Plot the points (3, 5) and (8, -2) then draw a straight line through them (see attachment 2).
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someone please help- just look at the picture
Answers
Answer:
30
Step-by-step explanation:
18/60 =.3 x 100 = 30
HELPP A PERSON OUT PLSS! i dont really understand how to do ittt!!
giving you all my points so help pleaseeee
Answers
(1) 14^2+y^2=Z^2
(2) 6^2+y^2=x^2 and (3) x^2+z^2=20^2
The next step is to solve them simultaneously e.g you can rearrange (2) to give you y^2=x^2-6^2 and then input that into (1) to get 14^2+x^2-6^2=Z^2 and again you rearrange (3) to get z^2=20^2-x^2 and input that in and solve for x. Then you will have to repeat that solving for y and only y as the question doesn’t originally ask for z but only for the values of x and y I assume. Using this idea, from glancing at the other questions you should be able to apply this concept to those other questions, if not then make another post outlining any specific questions
I need help I'm stuck on this
Answers
a) The length of p is 21.4 cm
b) The measure of angle P is 45.6°
TrigonometryFrom the question, we are to determine the length of p
From the Pythagorean theorem, we can write that
30² = 21² + p²
p² = 30² - 21²
p² = 900 - 441
p² = 459
p = √459
p = 21.4 cm
∴ The length of p is 21.4 cm
b)
Measure of angle P
Using SOH CAH TOA
[tex]cos P= \frac{21}{30}[/tex]
cos P = 0.7
P = cos⁻¹(0.7)
P = 45.6°
Hence, the measure of angle P is 45.6°
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[tex] \color{red} \sf Solve \: for \: x : \\ \sf \: \: 4x + 2 = -8?[/tex]
Thank uh !
Answers
Answer:
x = -5/2
Step-by-step explanation:
4x+2 = -8
We are solving for x
The first step in isolating x is to subtract 2 from each side
4x+2-2 = -8-2
4x = -10
Divide each side by 4
4x/4 = -10/4
x = -10/4
Simplify the fraction
x = -5/2
Answer:
x= -5/2Step-by-step explanation:
4x+2 = -8
4x = -10
4x/4 = -10/4
x = -5/2
Complete the following conversions. i) 1 mm = m ii) mm = 1 m iii) 1 cm = m iv) cm = 1 m v) 1 km = m vi) km = 1 m vii) 1 cm = mm viii) cm = 1 mm
Answers
The unit conversion for the given values are explained below.
What is unit conversion?Unit conversion is the process of changing a quantity's measurement between different units, frequently using multiplicative conversion factors.
The following measurements: length, weight, capacity, temperature, and speed are all measured in units.
Some basic unit conversions are-
1 Km = 1000 m1 m = 100 cm1 m = 1000 mm1 cm = 10 mmThere are two methods to convert the units
To convert smaller unit into larger divide the number by conversion factor.To convert larger value into smaller value multiply by the conversion factor.The unit conversion for the following factors are-
i) 1 mm = _ m
Here, conversion is from smaller to larger. So, divide by conversion factor.
1 mm = (1/100)m
ii) _ mm = 1 m
Here, conversion is from larger to smaller. So, multiply with conversion factor.
1000 mm = 1 m
iii) 1 cm = _ m
Here, conversion is from smaller to larger. So, divide by conversion factor.
1 cm = (1/100)m
iv) _ cm = 1 m
Here, conversion is from larger to smaller. So, multiply with conversion factor.
100 cm = 1 m
v) 1 km = _m
Here, conversion is from larger to smaller. So, multiply with conversion factor.
1 km = 1000 m.
vi) _ km = 1 m
Here, conversion is from smaller to larger. So, divide by conversion factor.
(1/1000) km = 1 m.
vii) 1 cm = _mm
Here, conversion is from larger to smaller. So, multiply with conversion factor.
1 cm = 10 mm
viii) _cm = 1 mm
Here, conversion is from smaller to larger. So, divide by conversion factor.
(1/10) cm = 1 mm.
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The total mass of 4 identical pencil boxes and a notebook is 700 g. each pencil box has a mass of 140 g. what is mass of the notebook?
Answers
Answer:
140g
Step-by-step explanation:
One pencil box has a mass of 140g, to find out the weight of 4 pencil boxes we multiply 140 by 4: 140*4 = 560g
Let the mass of the notebook be x: 560+x = 700
560+x = 700
x = 140g
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes
respectively: (a) 3 /2 and 5
Answers
The quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively as 3 /2 and 5 is 2x² - 3x + 10
What is a quadratic polynomial?A quadratic polynomial is a polynomial of the form ax² + bx + c
How to find the quadratic polynomial?For any given quadratic polynomial we have
x² - (sum of zeros)x + (products of zeros) = 0
Given that the sum and product of its zeroes respectively 3/2 and 5,
We have that
sum of zeroes = 3/2 and product of zeros = 5Substituting the values of the variables into the equation, we have
x² - (sum of zeros)x + (products of zeros) = 0
x² - (3/2)x + (5) = 0
x² - (3/2)x + (5) = 0
Multiplying through by 2, we have
2 × x² - 2 × (3/2)x + 2 × (5) = 0 × 2
2x² - 3x + 10 = 0
So, the quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively as 3/2 and 5 is 2x² - 3x + 10
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PLS HELP ASAP
42. Use the graph below to answer all questions. Assume the graph is incremented by one.
Does the graph represent a function? How do you know?
What is the domain?
What is the range?
What is the maximum?
What is the minimum?
Identify the intervals where the graph is increasing. What does this mean in the context of the problem?
Identify the intervals where the graph is decreasing. What does this mean in the context of the problem?
Answers
See below for the solution to each question
Is the graph a function?Yes, the graph is a function.
This is because all x values have different y values
The domainThis is the set of input values of the graph.
From the graph, we have
x = 0 to x = 17
Hence, the domain is [0, 17]
The rangeThis is the set of output values of the graph.
From the graph, we have
y = 0 to y = 10
Hence, the range is [0, 10]
The maximumThis is the maximum point on the graph.
From the graph, we have
Maximum = (12, 10)
The minimumThis is the minimum point on the graph.
From the graph, we have
Minimum = (0, 0)
The increasing intervalsThese are the intervals where the y values increase as x increase.
From the graph, we have
Increasing intervals = (0, 5) ∪ (10, 12) ∪ (14, 15)
The decreasing intervalsThese are the intervals where the y values decrease as x increase.
From the graph, we have
Decreasing intervals = (7, 10) ∪ (12, 14) ∪ (15, 17)
The constant intervalsThese are the intervals where the y values remain unchanged as x changes.
From the graph, we have
Constant intervals = (5, 7)
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What effect does 'h' have on the graph of a parabola?
Vertical stretch
Vertical compression
Vertical shift
Horizontal shift
Answers
The effect that 'h' have on the graph of a parabola is Horizontal shift or translation .
What is translation?A translation is the movement of a shape up, down , this can also be movement from side to side.
Even though there is movement, its appearance remains the same in any other way, hence, h values cause left or right movement with respect to the graph.
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What is the sum of the lengths, in centimeters, of the two legs of a 30-60-90 right triangle, if the length of the hypotenuse is $2\sqrt{6}$ centimeters
Answers
The sum of the lengths of two legs of the 30°-60°-90° right triangle is 6.69 centimeters. Using the ratio of sides for the 30°-60°-90° triangle, the sum is calculated.
What is the ratio of sides for the 30°-60°-90° triangle?The ratio for the 30°-60°-90° triangle is 1:√3:2 or x:x√3:2x
where x corresponds to the length opposite the 30° angle and x√3 is opposite of the 60° angle and 2x is opposite to the 90° angle.
Calculation:It is given that the triangle is a right triangle with angles 30°-60°-90°
For such a triangle, the ratio of side lengths is x: x[tex]\sqrt{3}[/tex]:2x
we have the length of the hypotenuse is [tex]2\sqrt{6}[/tex]
So, 2x = [tex]2\sqrt{6}[/tex]
⇒ x = [tex]\sqrt{6}[/tex]
So,
the other length of the other leg is x√3 = √6 × √3 = 3 √2
Then, the sum of these two legs = √6 + 3√2 = 6.69 centimeters.
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Lightfoot Inc., a software development firm, has stock outstanding as follows: 30,000 shares of cumulative preferred 2% stock, $25 par, and 38,000 shares of $75 par common. During its first four years of operations, the following amounts were distributed as dividends: first year, $5,700; second year, $9,600; third year, $59,720; fourth year, $117,220.
Answers
The calculation of the dividends per share on each class of stock for each of the four years for Lightfoot Inc. are:
1st Year 2nd Year 3rd Year 4th Year
Preferred stock $0.19 $0.32 $0.99 $0.50
Common stock $0 $0 $0.79 $2.69
How is dividend per share calculated?
The dividend per share for each class of stock can be computed by dividing the total dividend distributed by the number of shares outstanding.
For cumulative preferred stock, the unpaid dividends in a year are carried forward for distribution when profits are made. Note also that preferred stock dividends enjoy preferential payment before common stock dividends.
Data and Calculations:Cumulative preferred stock = 30,000 shares
Par value of preferred stock = $25
Dividend rate = 2%
The total value of preferred stock = $750,000 ($25 x 30,000)
Expected annual dividend for preferred stockholders = $15,000 ($750,000 x 2%)
Common stock = 38,000 shares
Par value of common stock = $75
The total value of ordinary stock = $2,850,000 ($75 x 38,000)
Dividends distribution:1st Year 2nd Year 3rd Year 4th Year
Dividends distributed $5,700 $9,600 $59,720 $117,220
Preferred stock $5,700 $9,600 $29,700 $15,000
Preferred stock per share $0.19 $0.32 $0.99 $0.50 ($15,000/30,000)
Common stock $0 $0 $30,020 $102,220
Common stock per share $0 $0 $0.79 $2.69 ($102,220/38,000)
Thus, the dividends distribution of Lightfoot Inc. shows that the common stockholders started earning dividends after the second year.
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Question Completion:Calculate the dividends per share on each class of stock for each of the four years. Round all answers to two decimal places. If no dividends are paid in a given year, enter "O."
A motorcycle travels 20 miles west and then turns and goes 52° north of west another 38 miles. How far is the motorcycle from its starting point?? Round your answer to the nearest tenth
__ miles
Answers
Answer:
52.7 miles
Step-by-step explanation:
Please refer to attached photo. (Apologies for the terrible drawing).
We can deduce from A to B the distance is 20 miles, therefore no calculations is required.
However, from B to C, we will have to find the horizontal and vertical distances.
Horizontal Distance B > C = = hBC = [tex]BCcos(52)[/tex] = [tex]38cos(52) miles[/tex]
Vertical Distance B > C = vBC = [tex]BCsin(52)[/tex] = [tex]38sin(52)miles[/tex]
Here you can see the whole diagram is a right angle triangle. Which means, we can use Pythagoras' Theorem to find AC.
By Pythagoras Theorem,
[tex]c^{2} =a^{2}+b^{2}[/tex]
[tex]AC^{2} = (AB + hBC)^{2} + vBC^{2} \\AC^{2} = (20+38cos(52))^{2} +(38sin(52))^{2} \\AC = \sqrt{(20+38cos(52))^{2} +(38sin(52))^{2} } \\AC = 52.7 miles[/tex](nearest tenth)
A magazine provided results from a poll of 2000 adults who were asked to identify their favorite pie. Among the 2000 ​respondents, 14​% chose chocolate​ pie, and the margin of error was given as 4 percentage points. Given specific sample​ data, which confidence interval is​ wider: the 90​% confidence interval or the ​80% confidence​ interval? Why is it​ wider?
Answers
Between 95% confidence interval and 80% confidence interval, 95% confidence interval is wider than 80% confidence interval.
Given two confidence interval 95% and 80%.
For a given sample data, each confidence interval have different width.
This is because the critical value associated with the confidence level becomes larger as the confidence level is increased which results in an increased interval.
Confidence interval is the range of estimate.
The confidence interval for a population proportion can be found by the following formula:
p±[tex]\sqrt{(pq)/n}[/tex]
The value of z will be wider if the value of p,q are greater.
Hence 95% confidence interval will be wider than 80% confidence interval.
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Alcohol is a major contributor to high percentages of academic problems and college dropouts. question: alcohol is a major contributor to high percentages of academic problems and college dropouts. true false not sure increasing alcohol consumption lowers gpas. question: increasing alcohol consumption lowers gpas. true false not sure students who drink more heavily miss classes at the same rate as other students. question: students who drink more heavily miss classes at the same rate as other students. true false not sure students who drink more study less. question: students who drink more study less. true false not sure students with a 2.0 gpa (c) consume twice as many drinks on average than students with a 4.0 gpa (a).
Answers
The correct decision for the statements are
True--->Alcohol is a major contributor to high percentages of academic problems and college dropouts. True--->Increasing alcohol consumption lower GPAs. False--->Students who drink more heavily miss classes at the same rate as other students.True----> Students who drink more study less. False----> Students with a 2.0 GPA (C) consume twice as many drinks on average than students with a 4.0 GPA (A).This is further explained below.
What is Alcohol?Generally, alcohol is a colorless liquid that is volatile and combustible. It is created during the natural fermentation of carbohydrates and is the component that gives wine, beer, spirits, and other beverages their intoxicating properties. Additionally, alcohol is utilized as an industrial solvent and as fuel.
In conclusion, The appropriate response for each of the statements is
Alcohol is a significant factor in the large percentage of students who struggle academically and drop out of college, which is true. It's true that drinking more alcohol brings a drop in GPA. Students who consume more alcohol miss the same number of courses as students who consume less alcohol. This statement is false. Students who drink more spend less time studying, which is true. Students with a grade point average of 2.0 (C) drink on average two times as much alcohol as students with a grade point average of 4.0 (A) (A).
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Help help help help help just need answer
Answers
Answer:
25 miles
Step-by-step explanation:
2 inches represents 10 miles ( divide both parts by 2 )
1 inch represents 5 miles , then
5 inches represents 5 × 5 = 25 miles
pls help me on 109 I got it wrong :c
Answers
Answer:
30
Step-by-step explanation:
Let's start by multiplying the equation through bt the least common denominator so that we can clear the denominator:
[tex]\frac{2}{5}x+\frac{1}{3}y=1[/tex]
The least common of 3 and 5 is 15, so we can multiply through by 15:
[tex]15(\frac{2}{5}x+\frac{1}{3}y)=15(1)\\6x+5y=15[/tex]
We want the left side of the equation to be 12x + 10y. We can get this if we multiply the expression we currently have (6x + 5y) by 2. However, if we multiply the left side by 2, we must also multiply the right side by 2 to balance out the equation. If we do this, we will get our answer:
[tex]2(6x+5y)=2(15)\\12x+10y=30[/tex]
On the right side, we get 30. Therefore, the answer is 30
Which equations could be used to solve for the unknown lengths of △ABC? Check all that apply.
sin(45°) = StartFraction B C Over 9 EndFraction
sin(45°) = StartFraction 9 Over B C EndFraction
9 tan(45°) = AC
(AC)sin(45°) = BC
cos(45°) = StartFraction B C Over 9 EndFraction
Answers
Applying the trigonometric ratios, the equations that can be used are:
sin 45 = BC/9
cos 45 = BC/9
How to Apply the Trigonometric Ratio?In the given image below, to find the unknown lengths of the triangle, we would apply the following trigonometric ratios:
To find AC, use the cosine ratio, CAH.
To find BC, use the sine ratio, SOH.
sin 45 = opp/hyp = BC/9
sin 45 = BC/9
cos 45 = adj/hyp = BC/9
cos 45 = BC/9
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Answer: A, E
Step-by-step explanation: Sin(45)=BC/9 ; cos(45)=Bc/9
A couple purchased a home and signed a mortgage contract for $900,000 to be paid with half-yearly payments over a 25-year period. the interest rate applicable is j2 = 5.5% p.a. applicable for the rst ve years, with the condition that the interest rate will be increased by 12% every 5 years for the remaining term of the loan.
Answers
A mortgage payment is typically made up of four components: principal, interest, taxes, and insurance. The Principal portion is the amount that pays down your outstanding loan amount. Interest is the cost of borrowing money. The amount of interest you pay is determined by your interest rate and your loan balance.
The term “loan” can be used to describe any financial transaction where one party receives a lump sum and agrees to pay the money back. A mortgage is a type of loan that's used to finance a property. A mortgage is a type of loan, but not all loans are mortgages. Mortgages are “secured” loans.
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Cruz and erica were both getting ready for soccer. cruz ran 1 lap around the school. erica ran 3 laps around the playground. erica said, i ran more laps, so i ran farther. cruz said, 4 laps around the school is 1 mile, but it takes 12 laps around the playground to go 1 mile. my laps are much longer, so i ran farther. 1. who is right?
Answers
Both ran equal and both covered equal distance.
As cruz ran 1 lap out of 4 to cover one mile.
and erica ran 3 lap out of 12 to cover one mile:
3/12 = 1/4
So Cruz = Erica = 1/4.
Hence Both ran equal.
Fraction:
Fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.
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The diameter of a semicircle is 26 meters. What is the semicircle's perimeter? Use 3.14 for .
Answers
The perimeter of the semicircle is 66. 846 meters
How to find the perimeterThe formula for finding the perimeter of a semicircle is
Perimeter = πr + 2r
We were given diameter = 26meters
Radius, r = diameter/2
radius = 26/ 2 = 13 meters
π = 3. 142
Substitute value into the formula
Perimeter = 3. 142 × 13 + 2 × 13
Perimeter = 40. 846 + 26
Perimeter = 66. 846 meters
Thus, the perimeter of the semicircle is 66. 846 meters
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JJ decided to leave a tip that is 15% of the original price for his meal. How much should he leave as tip for the $5.50 cheeseburger and $2.50 milkshake? Express you answer to the hundreaths place.
Answers
If JJ decided to leave a tip that is 15% of the original price for his meal, he should leave $1.2 as tip for the $5.50 cheeseburger and $2.50 milkshake.
How to calculate discount?According to this question, JJ bought a $5.50 cheeseburger and a $2.50 milkshake.
This means that in total, JJ purchased $5.50 + $2.50 = $8 worth of meal.
If he decided to leave a tip that is 15% of the original price of his meal, hence,
15/100 × $8 = $1.2
Therefore, if JJ decided to leave a tip that is 15% of the original price for his meal, he should leave $1.2 as tip for the $5.50 cheeseburger and $2.50 milkshake.
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One ticket to a ride of the merry-go-round at the Sunday Fair costs $2.
Jenny and her friends have $36 with them. If, after buying tickets to the merry-go-round, they want to be left with no less than $15 , find the maximum number of tickets that they can buy.
Answers
Considering the definition of an inequality, the maximum number of tickets that they can buy is 10.
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.An inequality contains one or more unknown values called unknowns, in addition to certain known data.
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
Maximum number of tickets that they can buyIn this case, you know that
One ticket to a ride of the merry-go-round at the Sunday Fair costs $2.Jenny and her friends have $36 with them.After buying tickets to the merry-go-round, they want to be left with no less than $15.So, they want to spend on the purchase of tickets for the merry-go-round a value less than or equal to $36 - $15= $21.
Being "x" the maximum number of tickets that they can buy, the inequality that expresses the previous relationship is
2x≤ 21
Solving:
x≤ 21÷2
x≤ 10.5
Then, the maximum number of tickets that they can buy is 10.
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Calculating Volume of a Composite Figure 2 rectangular pyramids are connected at their bases. The total height of the 2 figures if 10 units. The base edge lengths are 9 units and 1.5 units. The height of each pyramid is 5 units. Which statements about the composite figure are true? Check all that apply. The composite figure consists of two rectangular pyramids. The composite figure can be broken down into rectangular prisms. The volume of the composite figure is 1.5(9)(5) + 1.5(9)(5). The total volume is 45 units3. The total volume is 90 units3.
Answers
The answer which are true about the two rectangular pyramids are;
The composite figure consists of two rectangular pyramids.The composite figure can be broken down into rectangular prisms.The volume of the composite figure is 1.5(9)(5) + 1.5(9)(5).Which statements about the composite figure are true?It follows from the task content that the dimensions of the rectangular prisms are the same and are as given.
On this note, it follows that the volume of the composite figure is; 1.5(9)(5) + 1.5(9)(5) = 135units³.
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i don’t know this answer help pls
Answers
Answer:
c
Step-by-step explanation:
Starting price is $5.50. And for every mile it costs $1.50.
Express in standard form :
42634.7
Answers
Answer:
ans is 42635 when expressed in standard form
Step-by-step explanation:
Mr. lee walks into the courtyard after school and wants to know the height of the tree. he measures an angle of 47* between a line of sight to the top of the tree and the ground and he is 22 feet away from the tree. how tall is the tree? *
Answers
The tree is 23.54 feet tall.
What is an angle?An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. It is not necessary for the angle to be in Euclidean space if it lies in the plane. Angles are referred to as dihedral angles if they are created by the intersection of two planes in a space other than Euclidean.
According to the question,
Height of tree= 22*tan [tex]47^{o}[/tex]
= 22* 1.07
= 23.54 ft.
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